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Finding the Fourth Proportional to 47,406.96, 71,053.74 and 21,081.96

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Solution

The fourth proportional to 47,406.96, 71,053.74 and 21,081.96 is: 31,597.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,406.96 : 71,053.74 = 21,081.96 : x
  2. Step 2: Convert to fraction form
    47,406.96/71,053.74 = 21,081.96/x
  3. Step 3: Cross multiply
    47,406.96x = 71,053.74 × 21,081.96
  4. Step 4: Simplify right side
    47,406.96x = 1,497,952,104.53
  5. Step 5: Solve for x
    x = 1,497,952,104.53/47,406.96
  6. Step 6: Final answer
    x = 31,597.73

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.